Question

To complete the job, balu needs 6 more days
than shalu. If both of them do the job Together
it takes 4 days to complete it How many days
each one needs. If they do the job separetly?​

Answer 1

Answer:

Step-by-step explanation:

Let x be the number of days taken by Shalu.

Number of days taken by Balu = x + 6.

Given, both of them together can complete the work in 4 days.

=> 1/x + 1/x + 6 = 1/4

//taking LCM

=> x + x + 6 / (x)(x+6) = 1/4

=> 2x + 6 / (x² + 6x) = 1/4

=> 8x + 24 = x² + 6x

=> x² -2x - 24 = 0

//Factorize the above equation

=> x² - 6x + 4x - 24 = 0

=> x(x - 6) + 4(x - 6) = 0

=> (x + 4)(x - 6) = 0

=> x = -4 or 6.

Since x cannot be negative, x = 6.

Thus Shalu takes 6 days to complete the work

        Balu takes 12 days to complete the work.